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emmasim [6.3K]
3 years ago
6

A single little brown bat can eat up to 1,000 mosquitoes in a single hour. Express in scientific notation how many mosquitoes a

little brown bat might eat in 10.5 hours. PLZ HELP ME .0.
Mathematics
1 answer:
Nastasia [14]3 years ago
8 0
Our final answer must represent "number of mosquitos."  This verifies that the correct calculation would be

1000 mosquitos              10.5 hours
-----------------------  x   --------------------
         1 hour                           1

Multiply this out.  Note that "hours" will cancel.

Whats your result?

Supposing that your result looked like   xxxxx times 10^0,

you'd convert this into scientific notation by moving the decimal place four units to the left (obtaining x.xxx) and then increasing the exponent of 10 from zero to four (obtaining 10^4).

Then your answer would have the form x.xxx times 10^4 (mosquitos)
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A company loses $780 as a result of shipping delay the 6 owners of the company must share the loss equally.
tekilochka [14]

A) Change in profit for each owner = -780/8

B) Change in profit for each owner = -$130

The total loss  = $780

Number of owners = 6

The 6 owners must share the loss equally

The change in profit for each owner will be the original profit less 780/6

That is -780/6

Evaluating -780/6

Change in profit for each owner = -$130

Learn more here: brainly.com/question/17858380

7 0
3 years ago
Sophie, Jonah, and Chase have a total of $89 in their wallets. Sophie has $6 less than Chase and Jonah has 3 times what Chase ha
Marrrta [24]
So first you need to find a formula for who has what!

Because nobody said what chase had, chase is our variable!

Chase = x
Sophie = x-6 (six less than Chase so subtraction)
Jonah = x•3 (three times the amount of Chase)

Now you will put all of this in an equation- adding everybody together! The total is 89 so that will be what’s after the equal sign!

Your equation: x+x-6+x•3=89

First you will use PEMDAS, since there are no parentheses or exponents- you’ll do multiplication first!

x+x-6+(x•3)=89
When you multiply that out, you will be left with: x+x-6+3x=89

Second you will add all common terms! Remember- the 3x means there are THREE x’s in that one spot. Take out all x’s in the equation and add them together!

x+x+3x=5x

Now you are left with:
5x-6=89

Now you will solve this like a regular equation! First, you have to move the -6 to the right so you will do the inverse operation (the opposite sign) and add 6 to both sides! 89+6 is 95 and -6+6 is 0, so the 6 on the left cancels out and isn’t there anymore!

Now you have 5x=95. To get the x by itself, you will divide both sides by 5! (Once again, doing the inverse operation! Since 5 and x are being multiplied, you have to divide.)

When you divide, you are left with x=19. In this question, the answer is:

Each person has $19.

3 0
3 years ago
Find the slope will give brainliest.
crimeas [40]

Answer:

The slope is 0.

Step-by-step explanation:

m=\frac{rise}{run}=\frac{2-2}{2-7}=\frac{0}{-5}=0

Hope this helps.

8 0
3 years ago
Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes
Ivan

Answer:

14.86 knots.

Step-by-step explanation:

<em>Given that:</em>

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2\times 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 \times 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled \triangle AOB.

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units

so, the total distance between the two boats is 74.28 units.

Change in distance per hour = \dfrac{Total\ distance}{Total\ time}

\Rightarrow \dfrac{74.28}{5} = 14.86\ knots

6 0
3 years ago
(5x+4)(x+7)<br><br> simplify please
Reil [10]
(5x+4)(x+7) = (5x × x) + (5x × 7) + (4 × x) + (4 × 7)=
= 5x^2 +35x + 4x + 28 = 5x^2+39x+28
7 0
3 years ago
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